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Finding the Third Proportional to 146,172 and 218,672

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Solution

The third proportional to 146,172 and 218,672 is: 327,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,172 : 218,672 = 218,672 : x
  2. Step 2: Convert to fraction form
    146,172/218,672 = 218,672/x
  3. Step 3: Cross multiply
    146,172x = 218,672 × 218,672
  4. Step 4: Simplify right side
    146,172x = 47,817,443,584
  5. Step 5: Solve for x
    x = 47,817,443,584/146,172
  6. Step 6: Final answer
    x = 327,131.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.